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Finding the Third Proportional to 392,823 and 600,648.75

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Solution

The third proportional to 392,823 and 600,648.75 is: 918,426.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,823 : 600,648.75 = 600,648.75 : x
  2. Step 2: Convert to fraction form
    392,823/600,648.75 = 600,648.75/x
  3. Step 3: Cross multiply
    392,823x = 600,648.75 × 600,648.75
  4. Step 4: Simplify right side
    392,823x = 360,778,920,876.56
  5. Step 5: Solve for x
    x = 360,778,920,876.56/392,823
  6. Step 6: Final answer
    x = 918,426.16

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.